428624829 has 24 divisors (see below), whose sum is σ = 629436600. Its totient is φ = 281014272.

The previous prime is 428624827. The next prime is 428624837. The reversal of 428624829 is 928426824.

It can be written as a sum of positive squares in 4 ways, for example, as 219099204 + 209525625 = 14802^2 + 14475^2 .

It is not a de Polignac number, because 428624829 - 2¹ = 428624827 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428624821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294267 + ... + 295719.

It is an arithmetic number, because the mean of its divisors is an integer number (26226525).

Almost surely, 2^428624829 is an apocalyptic number.

It is an amenable number.

428624829 is a deficient number, since it is larger than the sum of its proper divisors (200811771).

428624829 is a wasteful number, since it uses less digits than its factorization.

428624829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1978 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 428624829 is about 20703.2564829787. The cubic root of 428624829 is about 753.9787540304.

The spelling of 428624829 in words is "four hundred twenty-eight million, six hundred twenty-four thousand, eight hundred twenty-nine".